Finding the Fourth Proportional to 2,542.47, 3,817.35 and 1,565.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.47 : 3,817.35 = 1,565.61 : x
2. Step 2: Convert to fraction form
   2,542.47/3,817.35 = 1,565.61/x
3. Step 3: Cross multiply
   2,542.47x = 3,817.35 × 1,565.61
4. Step 4: Simplify right side
   2,542.47x = 5,976,481.33
5. Step 5: Solve for x
   x = 5,976,481.33/2,542.47
6. Step 6: Final answer
   x = 2,350.66